4032242544960 has 1344 divisors, whose sum is σ = 17862321684480. Its totient is φ = 844914032640.

The previous prime is 4032242544907. The next prime is 4032242544971. The reversal of 4032242544960 is 694452422304.

4032242544960 is a `hidden beast` number, since 4 + 0 + 3 + 2 + 2 + 42 + 544 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 320598192 + ... + 320610768.

It is an arithmetic number, because the mean of its divisors is an integer number (13290417920).

Almost surely, 2^{4032242544960} is an apocalyptic number.

4032242544960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4032242544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8931160842240).

4032242544960 is an abundant number, since it is smaller than the sum of its proper divisors (13830079139520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4032242544960 is a wasteful number, since it uses less digits than its factorization.

4032242544960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12666 (or 12644 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 4032242544960 in words is "four trillion, thirty-two billion, two hundred forty-two million, five hundred forty-four thousand, nine hundred sixty".